Answer: Choice C
exact length = sqrt(26) units
approximate length = 5.10 units
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Work Shown:
We can use the distance formula.
A = (x1,y1) = (2,2)
B = (x2,y2) = (1,-3)
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(2-1)^2 + (2-(-3))^2}\\\\d = \sqrt{(2-1)^2 + (2+3)^2}\\\\d = \sqrt{(1)^2 + (5)^2}\\\\d = \sqrt{1 + 25}\\\\d = \sqrt{26}\\\\d \approx 5.0990195\\\\d \approx 5.10\\\\[/tex]
The distance from A to B is exactly sqrt(26) units which approximates to 5.10 units. This distance represents the length of chord AB.
